Animation Nodes - How do I swing in the text?
Each character follow the path of a quarter of a circle, it starts from its right side and ends at its top. So it is clear that our characters' path should be parameterized by the equation of a circle where the parameter (angle) range between zero and $\frac{\pi}{2}$ representing the right and top of the circle respectively. The equation of a unit circle whose top is  tangent to the x axis is described by the parametric equation:

$$
\begin{aligned}
x &amp;= \cos (t)\\
y &amp;= \sin(t) - 1
\end{aligned}
$$

Notice that the minus one is just to move the circle down such that its top become tangent to the x axis (Because we want the characters to end up at the x axis). We now have the location of each character. The orientation of the character along the z axis is just $-(\frac{\pi}{2}-t)=-\frac{\pi}{2}+t$. As for the scale, it just animates from zero to one. It should be noted that we can scale the circle to make the characters take a longer path. And of course, we are going to offset each character by some amount by adding to its x location. From all of this, our implementation becomes:



And to get the second result, one just modulate the parameter using a delay falloff: